Information on Result #698544

Linear OA(6482, 262171, F64, 26) (dual of [262171, 262089, 27]-code), using construction X applied to Ce(25) ⊂ Ce(18) based on
  1. linear OA(6476, 262144, F64, 26) (dual of [262144, 262068, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(6455, 262144, F64, 19) (dual of [262144, 262089, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  3. linear OA(646, 27, F64, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,64)), using

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1OA(3299, 262171, S32, 26) [i]Discarding Parts of the Base for OAs
2Linear OOA(6482, 194023, F64, 2, 26) (dual of [(194023, 2), 387964, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(6482, 194023, F64, 3, 26) (dual of [(194023, 3), 581987, 27]-NRT-code) [i]
4Digital (56, 82, 194023)-net over F64 [i]
5Linear OOA(6482, 131085, F64, 2, 26) (dual of [(131085, 2), 262088, 27]-NRT-code) [i]OOA Folding
6Linear OOA(6482, 87390, F64, 3, 26) (dual of [(87390, 3), 262088, 27]-NRT-code) [i]
7Linear OOA(6482, 20167, F64, 26, 26) (dual of [(20167, 26), 524260, 27]-NRT-code) [i]OA Folding and Stacking